{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "digits = datasets.load_digits()\n",
    "X = digits.data\n",
    "y = digits.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1347, 64)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 12 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "#先使用knn对原始数据进行分类\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9866666666666667"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用PCA对数据集进行降为处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)\n",
    "pca.fit(X_train)\n",
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 3 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "# 用降维后的数据重新训练个KNN分类器\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6066666666666667"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.14566817, 0.13735469])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 到底降到几维才能还能保证精度呢?\n",
    "pca.explained_variance_ratio_\n",
    "# 意思是大概第一个轴能解释14.5%, 第二个轴能解释13.7%原数据的方差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.45668166e-01, 1.37354688e-01, 1.17777287e-01, 8.49968861e-02,\n",
       "       5.86018996e-02, 5.11542945e-02, 4.26605279e-02, 3.60119663e-02,\n",
       "       3.41105814e-02, 3.05407804e-02, 2.42337671e-02, 2.28700570e-02,\n",
       "       1.80304649e-02, 1.79346003e-02, 1.45798298e-02, 1.42044841e-02,\n",
       "       1.29961033e-02, 1.26617002e-02, 1.01728635e-02, 9.09314698e-03,\n",
       "       8.85220461e-03, 7.73828332e-03, 7.60516219e-03, 7.11864860e-03,\n",
       "       6.85977267e-03, 5.76411920e-03, 5.71688020e-03, 5.08255707e-03,\n",
       "       4.89020776e-03, 4.34888085e-03, 3.72917505e-03, 3.57755036e-03,\n",
       "       3.26989470e-03, 3.14917937e-03, 3.09269839e-03, 2.87619649e-03,\n",
       "       2.50362666e-03, 2.25417403e-03, 2.20030857e-03, 1.98028746e-03,\n",
       "       1.88195578e-03, 1.52769283e-03, 1.42823692e-03, 1.38003340e-03,\n",
       "       1.17572392e-03, 1.07377463e-03, 9.55152460e-04, 9.00017642e-04,\n",
       "       5.79162563e-04, 3.82793717e-04, 2.38328586e-04, 8.40132221e-05,\n",
       "       5.60545588e-05, 5.48538930e-05, 1.08077650e-05, 4.01354717e-06,\n",
       "       1.23186515e-06, 1.05783059e-06, 6.06659094e-07, 5.86686040e-07,\n",
       "       1.71368535e-33, 7.44075955e-34, 7.44075955e-34, 7.15189459e-34])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=X_train.shape[1])\n",
    "pca.fit(X_train)\n",
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23d9d02cd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([i for i in range(X_train.shape[1])],\n",
    "        [np.sum(pca.explained_variance_ratio_[:i+1]) for i in range(X_train.shape[1])])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### sklearn 训练模型指定解释方差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=0.95, random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(0.95) # 能够解释原数据95%以上的方差\n",
    "pca.fit(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "28"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.n_components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 5 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 用PCA对数据降维后可视化的例子"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 2)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=2)\n",
    "pca.fit(X)\n",
    "X_reduction = pca.transform(X)\n",
    "X_reduction.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x23d9c743f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    plt.scatter(X_reduction[y==i,0], X_reduction[y==i,1], alpha=0.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 2)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_reduction.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, ..., 8, 9, 8])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(182, 2)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_reduction[y==1].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
